Granular fuzzy calculus on time scales and its applications to fuzzy dynamic equations

Information Sciences

Inform. Sci., 690:1-32, Art. ID 121547, 2025

Existence and multiplicity of solutions of fractional differential equations on infinite intervals

Boundary Value Problems

Bound. Value Probl., (26):1-13, 2024

High-order approximation of Caputo-Prabhakar derivative with applications to linear and nonlinear fractional diffusion models

Journal of Nonlinear, Complex and Data Science

J. Nonlinear Complex Data Sci., 25(3-4):281-307, 2024

An innovative approach to designing unknown-input observers in Takagi-Sugeno systems

International Journal of Dynamics and Control

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Integral manifolds for impulsive HCV conformable neural network models

Applied Mathematics in Science and Engineering

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Generalized periodicity and applications to logistic growth

Chaos, Solitons & Fractals

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Lipschitz stability for impulsive Riemann-Liouville fractional differential equations

Kragujevac Journal of Mathematics

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The uncertain Malthusian model on time scales

Proceedings of the American Mathematical Society

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A lemma on C0-semigroups on time scales and approximate controllability of the heat dynamic equation

Quaestiones Mathematicae. Journal of the South African Mathematical Society

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Existence of solutions by coincidence degree theory for Hadamard fractional differential equations at resonance

Turkish Journal of Mathematics

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Critical point approaches to nonlinear square root Laplacian equations

Miskolc Mathematical Notes. A Publication of the University of Miskolc

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Three solutions for a discrete fourth-order boundary value problem with four parameters

Boletim da Sociedade Paranaense de Matem\'atica. 3rd S\'erie

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Updated aims and scope of Foundations

Foundations, 4(1):1-2, 2024

A high-order multi-resolution wavelet method for nonlinear systems of differential equations

Mathematics and Computers in Simulation

Math. Comput. Simulation, 215:543-559, 2024

Impulsive Boundedness for Nonautonomous Dynamic Complex Networks with Constraint Nonlinearity

Applied Mathematical Modelling. Simulation and Computation for Engineering and Environmental Systems

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Dynamic local and nonlocal initial value problems in Banach spaces

Rendiconti del Circolo Matematico di Palermo. Second Series

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Numerical study of generalized modified Caputo fractional differential equations

International Journal of Computer Mathematics

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Fractional midpoint-type inequalities for twice-differentiable functions

Univerzitet u Nišu. Prirodno-Matematički Fakultet. Filomat

Filomat, 37(24):8131-8144, 2023

New criteria of oscillation for linear Sturm-Liouville delay noncanonical dynamic equations

Mathematics

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On the fundamental qualitative properties of integro-delay differential equations

Communications in Nonlinear Science and Numerical Simulation

Commun. Nonlinear Sci. Numer. Simul., 125:Paper No. 107320, 2023

On h-manifolds stability for impulsive delayed SIR epidemic models

Applied Mathematical Modelling. Simulation and Computation for Engineering and Environmental Systems

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Separable differential operators with parameters

Differential Equations and Dynamical Systems. International Journal for Theory, Real World Modelling and Simulations

Differ. Equ. Dyn. Syst., 31(3):581-611, 2023

Inequalities for interval-valued Riemann diamond-alpha integrals

Journal of Inequalities and Applications

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Sharp results for oscillation of second-order neutral delay differential equations

Electronic Journal of Qualitative Theory of Differential Equations

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Oscillation of second-order half-linear neutral noncanonical dynamic equations

The Journal of Applied Analysis and Computation

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Vallée-Poussin theorem for equations with Caputo fractional derivative

Mathematica Slovaca

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Vallée-Poussin theorem for Hadamard fractional functional differential equations

Applied Mathematics in Science and Engineering

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Uniqueness for an inverse quantum-Dirac problem with given Weyl function

Tatra Mountains Mathematical Publications

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Three solutions for discrete anisotropic Kirchhoff-type problems

Demonstratio Mathematica

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Post-quantum Hermite-Jensen-Mercer inequalities

The Rocky Mountain Journal of Mathematics

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Dynamic equations, control problems on time scales, and chaotic systems

Chaos Theory Appl., 5(1):1-2, 2023

Weighted dynamic estimates for convex and subharmonic functions on time scales

Mathematical Inequalities & Applications

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A logarithm on time scales and its uses

Dynamic Calculus and Equations on Time Scales, DeGruyter, Berlin, pages 175-196, 2023

A Haar wavelet multi-resolution collocation method for singularly perturbed differential equations with integral boundary conditions

Mathematics and Computers in Simulation

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Derivation and analysis of a discrete predator-prey model

Bulletin of Mathematical Biology. A Journal Devoted to Research at the Interface of the Life and Mathematical Sciences

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Oscillation of noncanonical second-order advanced differential equations via canonical transform

Constructive Mathematical Analysis

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Qualitative analysis of integro-differential equations with variable retardation

Discrete and Continuous Dynamical Systems. Series B. A Journal Bridging Mathematics and Sciences

Discrete Contin. Dyn. Syst. Ser. B, 27(2):639-657, 2022

Ulam stability for first-order nonlinear dynamic equations

Sarajevo Journal of Mathematics

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Qualitative results for nonlinear integro-dynamic equations via integral inequalities

Qualitative Theory of Dynamical Systems

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Periodicity on isolated time scales

Mathematische Nachrichten

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The Beverton-Holt model on isolated time scales

Mathematical Biosciences and Engineering. MBE

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Vector-valued functions on time scales and random differential equations

Computational & Applied Mathematics

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Hermite-Hadamard-type inequalities for conformable integrals

Hacettepe Journal of Mathematics and Statistics

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Discrete fractional cobweb models

Chaos, Solitons & Fractals

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A generalized proportional Caputo fractional model of multi-agent linear dynamic systems via impulsive control protocol

Communications in Nonlinear Science and Numerical Simulation

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Stability for generalized Caputo proportional fractional delay integro-differential equations

Boundary Value Problems

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Asymptotic properties of Kneser solutions to third-order delay differential equations

The Journal of Applied Analysis and Computation

J. Appl. Anal. Comput., 12(5):2024-2032, 2022

Nonoscillatory solutions of higher-order fractional differential equations

Mediterranean Journal of Mathematics

Mediterr. J. Math., 19(3):1-14, Paper No. 142, 2022

Controllability of dynamic equations with memory

Nonlinear Dynamics and Systems Theory. An International Journal of Research and Surveys

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Delay dynamic equations on isolated time scales and the relevance of one-periodic coefficients

Mathematical Methods in the Applied Sciences

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A q-Dirac boundary value problem with eigenparameter-dependent boundary conditions

Applicable Analysis and Discrete Mathematics

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Dynamics of Continuous, Discrete & Impulsive Systems. Series A. Mathematical Analysis

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Oscillation of second-order integro-dynamic equations with damping and distributed deviating arguments

Journal of Nonlinear and Convex Analysis. An International Journal

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Fourth derivative singularly P-stable method for the numerical solution of the Schrödinger equation

Advances in Difference Equations

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A critical point approach for a second-order dynamic Sturm-Liouville boundary value problem with $p$-Laplacian

Applied Mathematics and Computation

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Qualitative analysis of Caputo fractional integro-differential equations with constant delays

Computational & Applied Mathematics

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First-order nonlinear dynamic initial value problems

International Journal of Dynamical Systems and Differential Equations

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Journal of Inequalities and Special Functions

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Oscillation of even-order neutral differential equations with retarded and advanced arguments

Georgian Mathematical Journal

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Generalized perturbed Ostrowski-type inequalities

Annales. Universitatis Mariae Curie-Skłodowska. Sectio A. Mathematica

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Discrete fractional boundary value problems and inequalities

Fractional Calculus and Applied Analysis

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A new journal dedicated to fundamental research

Foundations, 1(1):1-2, 2021

Existence results for dynamic Sturm-Liouville boundary value problems via variational methods

Applied Mathematics and Computation

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A multivalued logarithm on time scales

Applied Mathematics and Computation

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Oscillation of nonlinear third-order difference equations with mixed neutral terms

Advances in Difference Equations

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Institut Mathématique. Publications. Nouvelle Série

Publ. Inst. Math. (Beograd) (N.S.), 109(123):83-93, 2021

Hyers-Ulam and Hyers-Ulam-Rassias Stability of First-Order Nonlinear Dynamic Equations

Qualitative Theory of Dynamical Systems

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Lyapunov inequalities and applications

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Almost periodic solutions of Cohen-Grossberg neural networks with time-varying delay and variable impulsive perturbations

Communications in Nonlinear Science and Numerical Simulation

Commun. Nonlinear Sci. Numer. Simul., 80:104952, 14, 2020

Gehring inequalities on time scales

Journal of Computational Analysis and Applications

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Impulsive synchronization of time-scales complex networks with time-varying topology

Communications in Nonlinear Science and Numerical Simulation

Commun. Nonlinear Sci. Numer. Simul., 80:104981, 10, 2020

Sharp oscillation criteria for second-order neutral delay differential equations

Mathematical Methods in the Applied Sciences

Math. Methods Appl. Sci., 43(17):10041-10053, 2020

The Euler method for dynamic equations on time scales

Nonlinear Studies. The International Journal

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Existence and uniqueness of solutions for nonlinear Caputo fractional difference equations

Turkish Journal of Mathematics

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Caputo fractional continuous cobweb models

Journal of Computational and Applied Mathematics

J. Comput. Appl. Math., 374:112734, 9, 2020

Existence and multiplicity of weak solutions for a Neumann elliptic problem with p(x)-Laplacian

Nonautonomous Dynamical Systems

Nonauton. Dyn. Syst., 7(1):53-64, 2020

Petrović-type inequalities for harmonic convex functions on coordinates

Journal of Inequalities and Special Functions

J. Inequal. Spec. Funct., 11(2):16-23, 2020

Progress on difference equations and discrete dynamical systems

Proceedings of the 25th International Conference on Difference Equations and Applications (ICDEA 2019) held at University College London, London, June 24-28, 2019

Springer, Cham, 341:448, 2020

Separated and state-constrained separated linear programming problems on time scales

Boletim da Sociedade Paranaense de Matemática. 3rd Série

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Quadratic programming problems on time scales

Applied and Computational Mathematics. An International Journal

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A natural Frenet frame for null curves on the lightlike cone in Minkowski space $R^4_2$

Journal of Inequalities and Applications

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Nonlinear Dynamics and Systems Theory. An International Journal of Research and Surveys

Nonlinear Dyn. Syst. Theory, 19(3):396-404, 2019

Oscillation criteria for second-order differential equations with superlinear neutral term

Nonlinear Studies. The International Journal

Nonlinear Stud., 26(2):425-434, 2019

Exact solution to a dynamic SIR model

Nonlinear Analysis. Hybrid Systems

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Trapezoid-type inequalities on time scales

Journal of Inequalities and Special Functions

J. Inequal. Spec. Funct., 10(3):9-25, 2019

Dynamic cobweb models with conformable fractional derivatives

Nonlinear Analysis. Hybrid Systems

Nonlinear Anal. Hybrid Syst., 32:157-167, 2019

Asymptotic behavior of solutions of forced third-order dynamic equations

Analysis. International Mathematical Journal of Analysis and its Applications

Analysis (Berlin), 39(1):1-6, 2019

Periodic solutions of linear, Riccati, and Abel dynamic equations

Journal of Mathematical Analysis and Applications

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Oscillation of second-order nonlinear difference equations with sublinear neutral term

Mathematica Moravica

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Ulam-Hyers stability of Caputo fractional difference equations

Mathematical Methods in the Applied Sciences

Math. Methods Appl. Sci., 42(18):7461-7470, 2019

Method of upper and lower solutions for nonlinear Caputo fractional difference equations and its applications

Fractional Calculus and Applied Analysis

Fract. Calc. Appl. Anal., 22(5):1307-1320, 2019

Spectral analysis of an impulsive quantum difference operator

Mathematical Methods in the Applied Sciences

Math. Methods Appl. Sci., 42(16):5331-5339, 2019

Existence of at least one homoclinic solution for a nonlinear second-order difference equation

International Journal of Nonlinear Sciences and Numerical Simulation

Int. J. Nonlinear Sci. Numer. Simul., 20(3-4):433-439, 2019

Linear fractional programming problems on time scales

Journal of Numerical Mathematics and Stochastics

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An impulsive delay discrete stochastic neural network fractional-order model and applications in finance

Univerzitet u Nišu. Prirodno-Matematički Fakultet. Filomat

Filomat, 32(18):6339-6352, 2018

A further extension of the extended Riemann-Liouville fractional derivative operator

Turkish Journal of Mathematics

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Massera's theorem in quantum calculus

Proceedings of the American Mathematical Society

Proc. Amer. Math. Soc., 146(11):4755-4766, 2018

Almost periodic functions in quantum calculus

Electronic Journal of Differential Equations

Electron. J. Differential Equations, pages 1-11, Paper No. 197, 2018

Cobweb model with conformable fractional derivatives

Mathematical Methods in the Applied Sciences

Math. Methods Appl. Sci., 41(18):9010-9017, 2018

Fite-Hille-Wintner-type oscillation criteria for second-order half-linear dynamic equations with deviating arguments

Koninklijke Nederlandse Akademie van Wetenschappen. Indagationes Mathematicae. New Series

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Oscillation of third-order delay difference equations with negative damping term

Annales. Universitatis Mariae Curie-Skłodowska. Sectio A. Mathematica

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A nonautonomous Beverton-Holt equation of higher order

Journal of Mathematical Analysis and Applications

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The generalized hypergeometric difference equation

Demonstratio Mathematica

Demonstr. Math., 51(1):62-75, 2018

A critical point approach to boundary value problems on the real line

Applied Mathematics Letters. An International Journal of Rapid Publication

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Parametrization of scale-invariant self-adjoint extensions of scale-invariant symmetric operators

Methods of Functional Analysis and Topology

Methods Funct. Anal. Topology, 24(1):1-15, 2018

Linear programming problems on time scales

Applicable Analysis and Discrete Mathematics

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Approximation degree of Durrmeyer-Bézier type operators

Journal of Inequalities and Applications

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An existence result for impulsive multi-point boundary value systems using a local minimization principle

Journal of Optimization Theory and Applications

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Spacelike curves in the lightlike cone

Applied Mathematics & Information Sciences

Appl. Math. Inf. Sci., 12(6):1227-1236, 2018

The second Cushing-Henson conjecture for the Beverton-Holt q-difference equation

Opuscula Mathematica

Opuscula Math., 37(6):795-819, 2017

Impulsive control functional differential systems of fractional order: stability with respect to manifolds

The European Physical Journal Special Topics

Eur. Phys. J. Special Topics, 226:3591-3607, 2017

Oscillation and asymptotic behavior of solutions of odd-order difference equations of mixed type

Advances in Dynamical Systems and Applications

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General higher-order dynamic Opial inequalities with applications

Dynamic Systems and Applications

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Pontryagin's maximum principle for dynamic systems on time scales

Journal of Difference Equations and Applications

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Existence of three solutions for impulsive multi-point boundary value problems

Opuscula Mathematica

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Oscillation criteria for second-order neutral delay differential equations

Electronic Journal of Qualitative Theory of Differential Equations

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Asymptotic behaviour of solutions of rational difference systems

Journal of Difference Equations and Applications

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Oscillation criteria for third-order nonlinear functional difference equations with damping

Applied Mathematics & Information Sciences

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The Bessel difference equation

Proceedings of the American Mathematical Society

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Three solutions for a class of nonhomogeneous nonlocal systems: An Orlicz-Sobolev space setting

Dynam. Systems Appl., 26(2):259-282, 2017

Dynamic Shum inequalities

Turkish Journal of Mathematics

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Weak solutions for implicit differential equations with Hilfer-Hadamard fractional derivative

Advances in Dynamical Systems and Applications

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Stationary acceleration of Frenet curves

Journal of Inequalities and Applications

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Asymptotic behavior of even-order damped differential equations with $p$-Laplacian like operators and deviating arguments

Journal of Inequalities and Applications

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The SIS-model on time scales

Pliska Studia Mathematica

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Optimal harvesting policy for the Beverton-Holt quantum difference model

Mathematica Moravica

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Optimal harvesting policy for the Beverton-Holt model

Mathematical Biosciences and Engineering. MBE

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Sneak-out principle on time scales

Journal of Mathematical Inequalities

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Periodic averaging principle in quantum calculus

Journal of Mathematical Analysis and Applications

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Inverse problems for Sturm-Liouville difference equations

Univerzitet u Nišu. Prirodno-Matematički Fakultet. Filomat

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Oscillation of third-order nonlinear damped delay differential equations

Applied Mathematics and Computation

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Oscillation criteria for third-order functional differential equations with damping

Electronic Journal of Differential Equations

Electron. J. Differential Equations, pages 1-15, Paper No. 215, 2016

Multivariable dynamic calculus on time scales

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Dynamic Systems and Applications

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A polynomial-type Jost solution and spectral properties of a self-adjoint quantum-difference operator

Complex Analysis and Operator Theory

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Applied Mathematics & Information Sciences

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Subexponential solutions of linear Volterra difference equations

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International Journal of Mathematics and Computation

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Difference equations, discrete dynamical systems and applications

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Georgian Mathematical Journal

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Improvements of dynamic Opial-type inequalities and applications

Dynamic Systems and Applications

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Discrete, continuous, delta, nabla, and diamond-alpha Opial inequalities

Mathematical Inequalities & Applications

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Impulsive differential equations: periodic solutions and applications

Automatica. A Journal of IFAC, the International Federation of Automatic Control

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Science China. Mathematics

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Qualitative analysis of a Solow model on time scales

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Difference equations, discrete dynamical systems and applications

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Bulletin of the Korean Mathematical Society

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Cauchy-type means and exponential and logarithmic convexity for superquadratic functions on time scales

Annals of Functional Analysis

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Existence, uniqueness, and convergence of the optimal derivative for a class of nonlinear functions

Advances in Dynamical Systems and Applications

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Global attractor of solutions of a rational system in the plane

Discrete Dynamics in Nature and Society. An International Multidisciplinary Research and Review Journal

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Methods of Functional Analysis and Topology

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Converses of Jessen's inequality on time scales

Mathematical Notes

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Jensen inequalities on time scales

978-953-197-597-1

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On the spectrum of eigenparameter-dependent quantum difference equations

Applied Mathematics & Information Sciences

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Dynamic Littlewood-type inequalities

Proceedings of the American Mathematical Society

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Oscillation of second-order nonlinear neutral dynamic equations with noncanonical operators

Bulletin of the Malaysian Mathematical Sciences Society

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Oscillation of fourth-order delay dynamic equations

Science China. Mathematics

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Even-order half-linear advanced differential equations: improved criteria in oscillatory and asymptotic properties

Applied Mathematics and Computation

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Oscillatory behavior of second-order half-linear damped dynamic equations

Applied Mathematics and Computation

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Fredholm boundary value problems for perturbed systems of dynamic equations on time scales

Mathematical Methods in the Applied Sciences

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Asymptotic stability criteria for a class of impulsive functional differential systems

Applied Mathematics & Information Sciences

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European call option pricing using the Adomian decomposition method

Advances in Dynamical Systems and Applications

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Some dynamic Hardy-type inequalities with general kernel

Journal of Mathematical Inequalities

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Oscillation of second-order $p$-Laplace dynamic equations with a nonpositive neutral coefficient

Applied Mathematics Letters. An International Journal of Rapid Publication

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Oscillation of solutions of second-order linear differential equations and corresponding difference equations

Journal of Difference Equations and Applications

J. Difference Equ. Appl., 20(7):1112-1126, 2014

Asymptotic behavior of nonoscillatory solutions of higher-order integro-dynamic equations

Opuscula Mathematica

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Closed-form solutions to discrete-time portfolio optimization problems

Journal of Applied Functional Analysis

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Qualitative behavior of solutions of difference equations with several oscillating coefficients

Arabian Journal of Mathematics

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Extreme self-adjoint extensions of a semibounded q-difference operator

Mathematische Nachrichten

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Jensen functionals on time scales for several variables

International Journal of Analysis

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A Philos-type theorem for third-order nonlinear retarded dynamic equations

Applied Mathematics and Computation

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Oscillation theorems for fourth-order half-linear delay dynamic equations with damping

Mediterranean Journal of Mathematics

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Oscillation of second-order Emden-Fowler neutral delay differential equations

Annali di Matematica Pura ed Applicata. Series IV

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Carpathian Journal of Mathematics

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Applied Mathematics Letters. An International Journal of Rapid Publication

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Mediterranean Journal of Mathematics

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Lyapunov-type inequalities for planar linear dynamic Hamiltonian systems

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The Kalman filter for linear systems on time scales

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Dynamics of Continuous, Discrete & Impulsive Systems. Series A. Mathematical Analysis

Dyn. Contin. Discrete Impuls. Syst. Ser. A Math. Anal., 20(4):507-522, 2013

Solow models on time scales

Cubo. A Mathematical Journal

Cubo, 15(1):13-31, 2013

Further properties of the Laplace transform on time scales with arbitrary graininess

Integral Transforms and Special Functions. An International Journal

Integral Transforms Spec. Funct., 24(4):289-301, 2013

Oscillation criteria for fourth-order functional differential equations

Mathematica Slovaca

Math. Slovaca, 63(6):1303-1320, 2013

Nonlinear differential equations with ``maxima'': parametric stability in terms of two measures

Applied Mathematics & Information Sciences

Appl. Math. Inf. Sci., 7(1):41-48, 2013

Continuous dependence for impulsive functional dynamic equations involving variable time scales

Applied Mathematics and Computation

Appl. Math. Comput., 221:383-393, 2013

Positive periodic solutions for higher-order functional q-difference equations

Journal of Applied Functional Analysis

J. Appl. Funct. Anal., 8(1):14-22, 2013

The Beverton-Holt q-difference equation

Journal of Biological Dynamics

J. Biol. Dyn., 7(1):86-95, 2013

Minkowski and Beckenbach-Dresher inequalities and functionals on time scales

Journal of Mathematical Inequalities

J. Math. Inequal., 7(3):299-312, 2013

Time scales integral inequalities for superquadratic functions

Journal of the Korean Mathematical Society

J. Korean Math. Soc., 50(3):465-477, 2013

Properties of higher-order half-linear functional differential equations with noncanonical operators

Advances in Difference Equations

Adv. Difference Equ., pages 2013:54, 10, 2013

Oscillation of third-order nonlinear delay differential equations

Taiwanese Journal of Mathematics

Taiwanese J. Math., 17(2):545-558, 2013

Oscillation of second-order nonlinear neutral dynamic equations

Dynamic Systems and Applications

Dynam. Systems Appl., 22(4):535-542, 2013

New results for oscillatory behavior of even-order half-linear delay differential equations

Applied Mathematics Letters. An International Journal of Rapid Publication

Appl. Math. Lett., 26(2):179-183, 2013

A new approach in the study of oscillatory behavior of even-order neutral delay differential equations

Applied Mathematics and Computation

Appl. Math. Comput., 225:787-794, 2013

Hille and Nehari type criteria for third-order delay dynamic equations

Journal of Difference Equations and Applications

J. Difference Equ. Appl., 19(10):1563-1579, 2013

Delay difference equations: coexistence of oscillatory and nonoscillatory solutions

Analysis. International Mathematical Journal of Analysis and its Applications

Analysis (Berlin), 33(4):333-348, 2013

Controllability and observability of time-invariant linear dynamic systems

Academy of Sciences of the Czech Republic. Mathematical Institute. Mathematica Bohemica

Math. Bohem., 137(2):149-163, 2012

An impulsive delay differential inequality and applications

Computers & Mathematics with Applications. An International Journal

Comput. Math. Appl., 64(6):1875-1881, 2012

Oscillation and spectral theory for linear Hamiltonian systems with nonlinear dependence on the spectral parameter

Mathematische Nachrichten

Math. Nachr., 285(11-12):1343-1356, 2012

Nonlinear integral inequalities involving maxima of the unknown scalar functions

Mathematical Inequalities & Applications

Math. Inequal. Appl., 15(4):811-825, 2012

Risk aversion and risk vulnerability in the continuous and discrete case

Decisions in Economics and Finance. A Journal of Applied Mathematics

Decis. Econ. Finance, 35(1):1-28, 2012

Floquet theory for q-difference equations

Sarajevo Journal of Mathematics

Sarajevo J. Math., 8(21)(2):355-366, 2012

Jensen's functionals on time scales

Journal of Function Spaces and Applications

J. Funct. Spaces Appl., pages 1-17, Art. ID 384045, 2012

Time scales Ostrowski and Grüss type inequalities involving three functions

Nonlinear Dynamics and Systems Theory. An International Journal of Research and Surveys

Nonlinear Dyn. Syst. Theory, 12(2):119-135, 2012

Discrete Sturm comparison theorems on finite and infinite intervals

Journal of Difference Equations and Applications

J. Difference Equ. Appl., 18(10):1763-1771, 2012

Oscillation and asymptotic behavior of third-order nonlinear retarded dynamic equations

Applied Mathematics and Computation

Appl. Math. Comput., 219(8):3600-3609, 2012

Oscillation results for fourth-order nonlinear dynamic equations

Applied Mathematics Letters. An International Journal of Rapid Publication

Appl. Math. Lett., 25(12):2058-2065, 2012

Oscillation of odd-order half-linear advanced differential equations

Communications in Applied Analysis. An International Journal for Theory and Applications

Commun. Appl. Anal., 16(3):349-357, 2012

New oscillation results for second-order neutral delay dynamic equations

Advances in Difference Equations

Adv. Difference Equ., pages 2012:227, 14, 2012

Some oscillation results for second-order neutral dynamic equations

Hacettepe Journal of Mathematics and Statistics

Hacet. J. Math. Stat., 41(5):715-721, 2012

Some oscillation results for second-order neutral differential equations

The Journal of the Indian Mathematical Society. New Series

J. Indian Math. Soc. (N.S.), 79(1-4):97-106, 2012

The linear quadratic tracker on time scales

International Journal of Dynamical Systems and Differential Equations

Int. J. Dyn. Syst. Differ. Equ., 3(4):423-447, 2011

Global stability of complex-valued neural networks on time scales

Differential Equations and Dynamical Systems

Differ. Equ. Dyn. Syst., 19(1-2):3-11, 2011

Weighted Ostrowski-Grüss inequalities on time scales

African Diaspora Journal of Mathematics

Afr. Diaspora J. Math., 12(1):89-99, 2011

Diamond-alpha Grüss type inequalities on time scales

International Journal of Dynamical Systems and Differential Equations

Int. J. Dyn. Syst. Differ. Equ., 3(1-2):234-247, 2011

Properties of the Laplace transform on time scales with arbitrary graininess

Integral Transforms and Special Functions. An International Journal

Integral Transforms Spec. Funct., 22(11):785-800, 2011

Some discrete fractional inequalities of Chebyshev type

African Diaspora Journal of Mathematics

Afr. Diaspora J. Math., 11(2):132-137, 2011

Periodic solutions of nonlinear dynamic systems with feedback control

International Journal of Difference Equations

Int. J. Difference Equ., 6(1):59-79, 2011

Application of the optimal derivative to the study of a ratio-dependent model describing the evolution of HIV in Canada

Advances in Dynamical Systems and Applications

Adv. Dyn. Syst. Appl., 6(1):3-12, 2011

Detection of the existence of bifurcation surfaces using the optimal derivative

International Journal of Mathematics and Computation

Int. J. Math. Comput., 11(J11):50-60, 2011

A q-difference operator with discrete and simple spectrum

Methods of Functional Analysis and Topology

Methods Funct. Anal. Topology, 17(4):281-294, 2011

Integral inequalities on time scales via the theory of isotonic linear functionals

Abstract and Applied Analysis

Abstr. Appl. Anal., pages 1-16, Art. ID 483595, 2011

Some dynamic Wirtinger-type inequalities and their applications

Pacific Journal of Mathematics

Pacific J. Math., 252(1):1-18, 2011

Oscillation of some fourth-order difference equations

International Journal of Difference Equations

Int. J. Difference Equ., 6(2):105-112, 2011

Philos type criteria for second-order half-linear dynamic equations

Mathematical Inequalities & Applications

Math. Inequal. Appl., 14(1):211-222, 2011

The linear quadratic regulator on time scales

International Journal of Difference Equations

Int. J. Difference Equ., 5(2):149-174, 2010

Weyl-Titchmarsh theory for Hamiltonian dynamic systems

Abstract and Applied Analysis

Abstr. Appl. Anal., pages 1-18, Art. ID 514760, 2010

Weyl-Titchmarsh theory for symplectic difference systems

Applied Mathematics and Computation

Appl. Math. Comput., 216(10):2855-2864, 2010

The Beverton-Holt difference equation

Discrete dynamics and difference equations

World Sci. Publ., Hackensack, NJ, pages 189-193, 2010

The stochastic dynamic exponential and geometric Brownian motion on isolated time scales

Communications in Mathematical Analysis

Commun. Math. Anal., 8(3):120-135, 2010

Gronwall-OuIang-type integral inequalities on time scales

Journal of Inequalities and Applications

J. Inequal. Appl., pages 1-15, Art. ID 275826, 2010

Exponential synchronization of chaotic neural networks with mixed delays and impulsive effects via output coupling with delay feedback

Mathematical and Computer Modelling

Math. Comput. Modelling, 52(5-6):643-653, 2010

Surface areas and surface integrals on time scales

Dynamic Systems and Applications

Dynam. Systems Appl., 19(3-4):435-453, 2010

The Laplace transform on isolated time scales

Computers & Mathematics with Applications. An International Journal

Comput. Math. Appl., 60(6):1536-1547, 2010

The h-Laplace and q-Laplace transforms

Journal of Mathematical Analysis and Applications

J. Math. Anal. Appl., 365(1):75-92, 2010

Oscillation of fourth-order dynamic equations

Hacettepe Journal of Mathematics and Statistics

Hacet. J. Math. Stat., 39(4):545-553, 2010

On Kneser solutions of third-order delay dynamic equations

Carpathian Journal of Mathematics

Carpathian J. Math., 26(2):184-192, 2010

Multiplier-accelerator models on time scales

International Journal of Statistics & Economics

Int. J. Stat. Econ., 4(S10):1-12, 2010

Integral inequalities and their applications to the calculus of variations on time scales

Mathematical Inequalities & Applications

Math. Inequal. Appl., 13(3):511-522, 2010

Opial-type inequalities for diamond-alpha derivatives and integrals on time scales

Differential Equations and Dynamical Systems

Differ. Equ. Dyn. Syst., 18(1-2):229-237, 2010

Spectral analysis of a q-difference operator

Journal of Physics. A. Mathematical and Theoretical

J. Phys. A, 43(14):145207, 15, 2010

On analytical solutions of the Black-Scholes equation

Applied Mathematics Letters. An International Journal of Rapid Publication

Appl. Math. Lett., 22(3):309-313, 2009

Linear perturbations of a nonoscillatory second-order dynamic equation

Journal of Difference Equations and Applications

J. Difference Equ. Appl., 15(11-12):1211-1221, 2009

Oscillation and boundedness of solutions to first and second order forced functional dynamic equations with mixed nonlinearities

Applicable Analysis and Discrete Mathematics

Appl. Anal. Discrete Math., 3(2):242-252, 2009

Sturmian and spectral theory for discrete symplectic systems

Transactions of the American Mathematical Society

Trans. Amer. Math. Soc., 361(6):3109-3123, 2009

Difference equations and applications

Proceedings of the 14th International Conference (ICDEA2008) held at Bahçeşehir University, Istanbul, July 21-25, 2008

Uğur-Bahçeşehir University Publishing Company, Istanbul, pages front matter+320, 2009

Dynamic equations on time scales: qualitative analysis and applications

Nonlinear Dynamics and Systems Theory. An International Journal of Research and Surveys

Nonlinear Dyn. Syst. Theory, 9(1):v, 2009

On the relationship between the optimal derivative and asymptotic stability

African Diaspora Journal of Mathematics. New Series

Afr. Diaspora J. Math. (N.S.), 8(2):148-162, 2009

Oscillation of second-order strongly superlinear and strongly sublinear dynamic equations

Communications in Nonlinear Science and Numerical Simulation

Commun. Nonlinear Sci. Numer. Simul., 14(8):3463-3471, 2009

On the oscillation of second-order half-linear dynamic equations

Journal of Difference Equations and Applications

J. Difference Equ. Appl., 15(5):451-460, 2009

An oscillation criterion for first order delay dynamic equations

Functional Differential Equations

Funct. Differ. Equ., 16(1):11-17, 2009

Ostrowski inequalities on time scales

JIPAM. Journal of Inequalities in Pure and Applied Mathematics

JIPAM. J. Inequal. Pure Appl. Math., 9(1):Article 6, 8, 2008

Iterated oscillation criteria for delay dynamic equations of first order

Advances in Difference Equations

Adv. Difference Equ., pages 1-12, Art. ID 458687, 2008

Periodic solutions of functional dynamic equations with infinite delay

Nonlinear Analysis. Theory, Methods & Applications. An International Multidisciplinary Journal

Nonlinear Anal., 68(5):1226-1245, 2008

On the asymptotic integration of nonlinear dynamic equations

Advances in Difference Equations

Adv. Difference Equ., pages 1-17, Art. ID 739602, 2008

Oscillation and boundedness of solutions to first and second order forced dynamic equations with mixed nonlinearities

The Australian Journal of Mathematical Analysis and Applications

Aust. J. Math. Anal. Appl., 5(1):Art. 2, 12, 2008

The Beverton-Holt dynamic equation

Applicable Analysis. An International Journal

Appl. Anal., 86(8):1007-1015, 2007

Oscillation and nonoscillation of forced second order dynamic equations

Pacific Journal of Mathematics

Pacific J. Math., 230(1):59-71, 2007

Trench's perturbation theorem for dynamic equations

Discrete Dynamics in Nature and Society. An International Multidisciplinary Research and Review Journal

Discrete Dyn. Nat. Soc., pages 1-11, Art. ID 75672, 2007

Asymptotic behavior of second-order dynamic equations

Applied Mathematics and Computation

Appl. Math. Comput., 188(2):1503-1512, 2007

The Grüss inequality on time scales

Communications in Mathematical Analysis

Commun. Math. Anal., 3(1):1-8, 2007

Elements of stability theory of A. M. Liapunov for dynamic equations on time scales

Nonlinear Dynamics and Systems Theory. An International Journal of Research and Surveys

Nonlinear Dyn. Syst. Theory, 7(3):225-251, 2007

Elements of Lyapunov stability theory for dynamic equations on time scale

International Applied Mechanics

Internat. Appl. Mech., 43(9):949-970, 2007

Euler-type boundary value problems in quantum calculus

International Journal of Applied Mathematics & Statistics

Int. J. Appl. Math. Stat., 9(J07):19-23, 2007

Line integrals and Green's formula on time scales

Journal of Mathematical Analysis and Applications

J. Math. Anal. Appl., 326(2):1124-1141, 2007

Double integral calculus of variations on time scales

Computers & Mathematics with Applications. An International Journal

Comput. Math. Appl., 54(1):45-57, 2007

The convolution on time scales

Abstract and Applied Analysis

Abstr. Appl. Anal., pages 1-24, Art. ID 58373, 2007

On similarity solutions for a class of nonlinear diffusion equations with convection

Advances in Dynamical Systems and Applications

Adv. Dyn. Syst. Appl., 2(2):167-176, 2007

Periodicity of scalar dynamic equations and applications to population models

Journal of Mathematical Analysis and Applications

J. Math. Anal. Appl., 330(1):1-9, 2007

On the relationship between the classical linearization and optimal derivative

Advances in Dynamical Systems and Applications

Adv. Dyn. Syst. Appl., 2(1):41-57, 2007

Oscillation criteria for a certain class of second order Emden-Fowler dynamic equations

Electronic Transactions on Numerical Analysis

Electron. Trans. Numer. Anal., 27:1-12, 2007

Oscillation criteria for first-order forced nonlinear dynamic equations

Canadian Applied Mathematics Quarterly

Can. Appl. Math. Q., 15(3):223-233, 2007

Oscillation criteria for first and second order forced difference equations with mixed nonlinearities

Mathematical and Computer Modelling

Math. Comput. Modelling, 45(7-8):965-973, 2007

A Philos criterion for second-order dynamic equations

Sel\ccuk Journal of Applied Mathematics

Sel\ccuk J. Appl. Math., 7(1):25-31, 2006

Oscillation of second order half-linear dynamic equations on discrete time scales

International Journal of Difference Equations

Int. J. Difference Equ., 1(2):205-218, 2006

Oscillation of damped second order nonlinear delay differential equations of Emden-Fowler type

Advances in Dynamical Systems and Applications

Adv. Dyn. Syst. Appl., 1(2):163-182, 2006

Asymptotic expansions and analytic dynamic equations

ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik. Journal of Applied Mathematics and Mechanics

ZAMM Z. Angew. Math. Mech., 86(1):37-45, 2006

Singular second-order multipoint dynamic boundary value problems with mixed derivatives

Advances in Difference Equations

Adv. Difference Equ., pages 1-15, Art. ID 54989, 2006

Multiple Lebesgue integration on time scales

Advances in Difference Equations

Adv. Difference Equ., pages 1-12, Art. ID 26391, 2006

An introduction to complex functions on products of two time scales

Journal of Difference Equations and Applications

J. Difference Equ. Appl., 12(3-4):369-384, 2006

Existence of periodic solutions in predator-prey and competition dynamic systems

Nonlinear Analysis. Real World Applications. An International Multidisciplinary Journal

Nonlinear Anal. Real World Appl., 7(5):1193-1204, 2006

Linear and nonlinear nonlocal boundary value problems for differential-operator equations

Applicable Analysis. An International Journal

Appl. Anal., 85(6-7):701-716, 2006

Spectrum and principal vectors of second order q-difference equations

Indian Journal of Mathematics

Indian J. Math., 48(1):17-33, 2006

Spectral analysis of q-difference equations with spectral singularities

Mathematical and Computer Modelling

Math. Comput. Modelling, 43(7-8):695-703, 2006

In memory of Bernd Aulbach (1947-2005)

Chapman & Hall/CRC, Boca Raton, FL

Proceedings of the Eighth International Conference on Difference Equations and Applications, pages v-vii, Translated by Martin Bohner, 2005

Kneser's theorem in q-calculus

Journal of Physics. A. Mathematical and General

J. Phys. A, 38(30):6729-6739, 2005

Second order dynamic inclusions

Journal of Nonlinear Mathematical Physics

J. Nonlinear Math. Phys., 12(suppl. 2):36-45, 2005

An eigenvalue problem for linear Hamiltonian dynamic systems

Polytechnica Posnaniensis. Institutum Mathematicum. Fasciculi Mathematici

Fasc. Math., (35):35-49, 2005

Multiple integration on time scales

Dynamic Systems and Applications

Dynam. Systems Appl., 14(3-4):579-606, 2005

Oscillation for nonlinear second order dynamic equations on a time scale

Journal of Mathematical Analysis and Applications

J. Math. Anal. Appl., 301(2):491-507, 2005

Some oscillation criteria for first order delay dynamic equations

Far East Journal of Applied Mathematics

Far East J. Appl. Math., 18(3):289-304, 2005

The logarithm on time scales

Journal of Difference Equations and Applications

J. Difference Equ. Appl., 11(15):1305-1306, 2005

Pachpatte inequalities on time scales

JIPAM. Journal of Inequalities in Pure and Applied Mathematics

JIPAM. J. Inequal. Pure Appl. Math., 6(1):Article 6, 23, 2005

Maximal regular boundary value problems in Banach-valued weighted space

Boundary Value Problems

Bound. Value Probl., (1):9-42, 2005

Oscillation of second order delay dynamic equations

Canadian Applied Mathematics Quarterly

Can. Appl. Math. Q., 13(1):1-17, 2005

Discrete oscillation theory

, pages xiv+961, 2005

Floquet theory and stability of nonlinear integro-differential equations

Acta Mathematica Hungarica

Acta Math. Hungar., 109(4):305-330, 2005

Oscillation of second order nonlinear dynamic equations on time scales

The Rocky Mountain Journal of Mathematics

Rocky Mountain J. Math., 34(4):1239-1254, 2004

Oscillation criteria for perturbed nonlinear dynamic equations

Mathematical and Computer Modelling

Math. Comput. Modelling, 40(3-4):249-260, 2004

Formulas of Bendixson and Alekseev for difference equations

The Bulletin of the London Mathematical Society

Bull. London Math. Soc., 36(1):65-71, 2004

Partial differentiation on time scales

Dynamic Systems and Applications

Dynam. Systems Appl., 13(3-4):351-379, 2004

Oscillation of symplectic dynamic systems

The ANZIAM Journal. The Australian & New Zealand Industrial and Applied Mathematics Journal

ANZIAM J., 46(1):17-32, 2004

Calculus of variations on time scales

Dynamic Systems and Applications

Dynam. Systems Appl., 13(3-4):339-349, 2004

Exponential functions and Laplace transforms for alpha derivatives

Proceedings of the Sixth International Conference on Difference Equations

CRC, Boca Raton, FL, pages 231-237, 2004

Nonoscillation and oscillation: theory for functional differential equations

Monographs and Textbooks in Pure and Applied Mathematics

Marcel Dekker, Inc., New York, 267:viii+376, 2004

Advances in dynamic equations on time scales

0-8176-4293-5

Birkhäuser Boston, Inc., Boston, MA, pages xii+348, 2003

Special issue: dynamic equations on time scales

Dynam. Systems Appl. \bf12 (2003), no. 1-2

Dynamic Publishers, Inc., Atlanta, GA, pages i-ii and 1-233, 2003

\In honour of Professor Allan Peterson on the occasion of his 60th birthday. Part II\

J. Difference Equ. Appl. \bf9 (2003), no. 1

Taylor & Francis, Ltd., Abingdon, pages i-ii and 1-169, 2003

Improper integrals on time scales

Dynamic Systems and Applications

Dynam. Systems Appl., 12(1-2):45-65, 2003

Introduction to the time scales calculus

Advances in dynamic equations on time scales

Birkhäuser Boston, Boston, MA, pages 1-15, 2003

Riemann and Lebesgue integration

Advances in dynamic equations on time scales

Birkhäuser Boston, Boston, MA, pages 117-163, 2003

Positive semidefiniteness of discrete quadratic functionals

Proceedings of the Edinburgh Mathematical Society. Series II

Proc. Edinb. Math. Soc. (2), 46(3):627-636, 2003

An oscillation theorem for discrete eigenvalue problems

The Rocky Mountain Journal of Mathematics

Rocky Mountain J. Math., 33(4):1233-1260, 2003

Diagonalization approach to discrete quadratic functionals

Archives of Inequalities and Applications. An International Journal for Theory and Applications

Arch. Inequal. Appl., 1(2):261-274, 2003

Asymptotic behavior of solutions of dynamic equations

Sovremennaya Matematika. Fundamental'nye Napravleniya

Sovrem. Mat. Fundam. Napravl., 1:30-39, 2003

Some dynamic equations

Advances in dynamic equations on time scales

Birkhäuser Boston, Boston, MA, pages 17-46, 2003

Miscellaneous dynamic equations

Methods and Applications of Analysis

Methods Appl. Anal., 10(1):11-30, 2003

Variable change for Sturm-Liouville differential expressions on time scales

Journal of Difference Equations and Applications

J. Difference Equ. Appl., 9(1):93-107, 2003

Half-linear dynamic equations

Nonlinear analysis and applications: to V. Lakshmikantham on his 80th birthday. Vol. 1, 2

Kluwer Acad. Publ., Dordrecht, pages 1-57, 2003

Boundary value problems on infinite intervals: a topological approach

Advances in dynamic equations on time scales

Birkhäuser Boston, Boston, MA, pages 275-291, 2003

Advances in difference equations IV

Comput. Math. Appl. \bf45 (2003), no. 6-9

Elsevier Ltd, Oxford, pages ix-xvi and 861-1468, 2003

Laplace transform and $Z$-transform: unification and extension

Methods and Applications of Analysis

Methods Appl. Anal., 9(1):151-157, 2002

Perturbations of dynamic equations

Journal of Difference Equations and Applications

J. Difference Equ. Appl., 8(4):295-305, 2002

Special issue in honour of Professor Allan Peterson on the occasion of his 60th birthday. Part I

J. Difference Equ. Appl. \bf8 (2002), no. 11

Taylor & Francis, Ltd., Abingdon, pages i-iv and 937-1083, 2002

In honour of Professor Allan Peterson on the occasion of his 60th birthday

J. Difference Equ. Appl. \bf8 (2002), no. 10

Taylor & Francis, Ltd., Abingdon, pages i-ii and 849-936, 2002

In honor of Professor Allan Peterson on the occasion of his 60th birthday

J. Difference Equ. Appl. \bf8 (2002), no. 9

Taylor & Francis, Ltd., Abingdon, pages i-ii and 761-847, 2002

Dedication to Professor Allan Peterson

Journal of Difference Equations and Applications

J. Difference Equ. Appl., 8(9):761-764, 2002

Lyapunov inequalities for time scales

Journal of Inequalities and Applications

J. Inequal. Appl., 7(1):61-77, 2002

Existence of bounded solutions for second order dynamic equations

Journal of Difference Equations and Applications

J. Difference Equ. Appl., 8(4):389-401, 2002

Dynamic equations on time scales: a survey

Journal of Computational and Applied Mathematics

J. Comput. Appl. Math., 141(1-2):1-26, 2002

Time scale boundary value problems on infinite intervals

Journal of Computational and Applied Mathematics

J. Comput. Appl. Math., 141(1-2):27-34, 2002